In this workshop we will focus on recent developments in Topological Quantum Field Theory and Quantum Gravity, with a particular emphasis on path integral methods. Some of the topics which will be covered are

• rigorous realizations (including simplicial approaches) of the path integrals appearing in Chern-Simons theory, BF-theory, (q-deformed) 2D Yang-Mills theory;
• spin foam models in Quantum Gravity;
• perturbative Chern-Simons theory;
• non-Abelian localization.

The topics of this workshop lie in the intersection of Low Dimensional Geometric Topology, Quantum Gravity, and Stochastic Analysis. One of the main goals is to stimulate the collaboration between the researchers of these different communities.

The workshop should give young researchers in Portugal a chance of getting in contact with some of the leading international experts in those fields.